課時練習20222023學年高一數學人教A版必修一函數的零點與方程的解Word版含解析（考試時間：90分鐘，滿分：100分）一、選擇題（共5小題，每小題3分，滿分15分）1.若函數$f(x)=x^22x3$，則方程$f(x)=0$的解為（）A.$x=1,x=3$B.$x=1,x=3$C.$x=1,x=3$D.$x=1,x=3$2.設函數$g(x)=ax^2+bx+c$，其中$a,b,c$為常數，若$g(1)=0$，則方程$g(x)=0$的一個解為（）A.$x=1$B.$x=1$C.$x=0$D.$x=2$3.若函數$h(x)=2x^24x+2$，則$h(x)$的零點個數為（）A.0B.1C.2D.無法確定4.設函數$f(x)=x^22x+1$，則方程$f(x)=0$的解為（）A.$x=1$B.$x=0$C.$x=1$D.$x=2$5.若函數$g(x)=ax^2+bx+c$，其中$a,b,c$為常數，且$a\neq0$，若$g(1)=0$，則方程$g(x)=0$的一個解為（）A.$x=1$B.$x=0$C.$x=1$D.$x=2$二、填空題（共5小題，每小題3分，滿分15分）1.若函數$f(x)=x^23x+2$，則方程$f(x)=0$的解為$x=\underline{\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\三、解答題（共5小題，每小題10分，滿分50分）1.已知函數f(x)x22x3，求方程f(x)0的解。2.已知函數g(x)2x24x+2，求g(x)的零點。3.已知函數h(x)x22x+1，求方程h(x)0的解。4.已知函數f(x)x22x3，求f(x)的零點。5.已知函數g(x)2x24x+2，求方程g(x)0的解。四、計算題（共5小題，每小題5分，滿分25分）1.已知函數f(x)x22x3，求f(2)的值。2.已知函數g(x)2x24x+2，求g(1)的值。3.已知函數h(x)x22x+1，求h(0)的值。4.已知函數f(x)x22x3，求f(2)的值。5.已知函數g(x)2x24x+2，求g(3)的值。五、應用題（共5小題，每小題5分，滿分25分）1.已知函數f(x)x22x3，求f(x)在x2時的函數值。2.已知函數g(x)2x24x+2，求g(x)在x1時的函數值。3.已知函數h(x)x22x+1，求h(x)在x0時的函數值。4.已知函數f(x)x22x3，求f(x)在x2時的函數值。5.已知函數g(x)2x24x+2，求g(x)在x3時的函數值。一、選擇題答案1.B2.A3.C4.A5.B二、填空題答案1.x1,x32.x1,x33.x1,x34.x1,x35.x1,x3三、解答題答案1.方程f(x)0的解為x1,x3。2.函數g(x)的零點為x1,x3。3.方程h(x)0的解為x1,x3。4.函數f(x)的零點為x1,x3。5.方程g(x)0的解為x1,x3。四、計算題答案1.f(2)32.g(1)53.h(0)14.f(2)55.g(3)5五、應用題答案1.f(x)在x2時的函數值為3。2.g(x)在x1時的函數值為5。3.h(x)在x0時的函數值為1。4.f(x)在x2時的函數值為5。5.g(x)在x3時的函數值為5。1.函數的定義及表示方法2.方程的解的概念3.函數的零點的概念4.二次函數的圖像和性質5.二次方程的解法6.函數的應用各題型所考察學生的知識點詳解及示例：1.選擇題：考察學生對函數的定義及